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A relation in which every domain value is paired with exactly one range value?
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∙ 12y ago
Function
Wiki User
∙ 12y ago
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Function
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What is a relation in which each element of the first set is paired with exactly one element of the second set?
If every element of the first set is paired with exactly one element of the second set, it is called an injective (or one-to-one) function.An example of such a relation is below.Let f(x) and x be the set R (the set of all real numbers)f(x)= x3, clearly this maps every element of the first set, x, to one and only one element of the second set, f(x), even though every element of the second set is not mapped to.
What is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
What is a function in algebra?
FromA function is a relation between a given set of elements called the domain and a set of elements called the co-domain. The function associates each element in the domain with exactly one element in the co-domain. The elements so related can be any kind of thing (words, objects, qualities) but are typically mathematical quantities, such as real numbers.An example of a function with domain {A,B,C} and co-domain {1,2,3} associates A with 1, B with 2, and C with 3. An example of a function with the real numbers as both its domain and co-domain is the function f(x) = 2x, which associates every real number with the real number twice as big. In this case, we can write f(5) = 10.
Is every function is a relation true or false?
true!
Differentiate a relation to a function?
A function is a special type of relation. So first let's see what a relation is. A relation is a diagram, equation, or list that defines a specific relationship between groups of elements. Now a function is a relation whose every input corresponds with a single output.
When can we say that a relation is not a function?
When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
What is a relation in which each element of the first set is paired with exactly one element of the second set?
If every element of the first set is paired with exactly one element of the second set, it is called an injective (or one-to-one) function.An example of such a relation is below.Let f(x) and x be the set R (the set of all real numbers)f(x)= x3, clearly this maps every element of the first set, x, to one and only one element of the second set, f(x), even though every element of the second set is not mapped to.
What is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
What is the relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
Is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
How do you determined if a relation is a function?
For every element on the domain, the relationship must allocate a unique element in the codomain (range). Many elements in the domain can be mapped to the same element in the codomain but not the other way around. Such a relationship is a function.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
Is every field an integral domain?
Yes, every field is an integral domain.
What is a function in algebra?
FromA function is a relation between a given set of elements called the domain and a set of elements called the co-domain. The function associates each element in the domain with exactly one element in the co-domain. The elements so related can be any kind of thing (words, objects, qualities) but are typically mathematical quantities, such as real numbers.An example of a function with domain {A,B,C} and co-domain {1,2,3} associates A with 1, B with 2, and C with 3. An example of a function with the real numbers as both its domain and co-domain is the function f(x) = 2x, which associates every real number with the real number twice as big. In this case, we can write f(5) = 10.
How can you say that the relation is a function?
A relation is a function if every value in the domain is mapped to only one value in the range. A non-mathematical example is mothers. Leaving aside surrogacy, every person has only one mother. Therefore the relation f(x) = x's mother is a function. But f(x) = x's ancestor is not a function because everyone has loads of ancestors. They may not all be known but that is not relevant.
Is an ellipse a function?
No. A function is a "graph" the survives the "vertical line test". Namely, it is for every x in its domain, there can be one and only one f(x) in its co-domain. An ellipse clearly fails it at everywhere except it's two vertex. But an ellipse can be thought as two separate functions. A standard ellipse relation, x^2 / a + (y)^2 / b = 1, can be thought as two separate real functions of y1 and y2. where y1 = -y2 exactly.
